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Tensor Network Solution of the Two-Dimensional Ising Model in a Magnetic Field

A tensor-network treatment of the two-dimensional square-lattice Ising ferromagnet and antiferromagnet in a magnetic field, writing the partition function as a gauge-fixed tensor network contracted by iDMRG and using half-chain entanglement entropy to determine the critical line (parabolic for the antiferromagnet, a critical point for the ferromagnet).

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Tensor network method for solving the Ising model with a magnetic field Myung-Hoon Chung∗

The Ising model, a lattice of spins that are each up or down and prefer to align (ferromagnet) or anti-align (antiferromagnet) with their neighbors, is a prototypical system of statistical mechanics,…